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300214420 = 2251159101229
BaseRepresentation
bin10001111001001…
…110100010010100
3202220220110202121
4101321032202110
51103323330140
645442345324
710303531462
oct2171164224
9686813677
10300214420
111445105a0
128465b244
134a27458c
142bc2b832
151b55264a
hex11e4e894

300214420 has 96 divisors (see below), whose sum is σ = 709430400. Its totient is φ = 105792000.

The previous prime is 300214417. The next prime is 300214463. The reversal of 300214420 is 24412003.

It is a junction number, because it is equal to n+sod(n) for n = 300214394 and 300214403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310866 + ... + 1311094.

It is an arithmetic number, because the mean of its divisors is an integer number (7389900).

Almost surely, 2300214420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354715200).

300214420 is an abundant number, since it is smaller than the sum of its proper divisors (409215980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

300214420 is a wasteful number, since it uses less digits than its factorization.

300214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 300214420 is about 17326.6967423107. The cubic root of 300214420 is about 669.5924007812.

Adding to 300214420 its reverse (24412003), we get a palindrome (324626423).

The spelling of 300214420 in words is "three hundred million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 101 110 118 202 220 229 236 295 404 458 505 590 649 916 1010 1111 1145 1180 1298 2020 2222 2290 2519 2596 3245 4444 4580 5038 5555 5959 6490 10076 11110 11918 12595 12980 13511 22220 23129 23836 25190 27022 29795 46258 50380 54044 59590 65549 67555 92516 115645 119180 131098 135110 148621 231290 254419 262196 270220 297242 327745 462580 508838 594484 655490 743105 1017676 1272095 1310980 1364611 1486210 2544190 2729222 2972420 5088380 5458444 6823055 13646110 15010721 27292220 30021442 60042884 75053605 150107210 300214420